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Finding the Fourth Proportional to 12,298.64, 16,970.81 and 6,920.98

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Solution

The fourth proportional to 12,298.64, 16,970.81 and 6,920.98 is: 9,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.64 : 16,970.81 = 6,920.98 : x
  2. Step 2: Convert to fraction form
    12,298.64/16,970.81 = 6,920.98/x
  3. Step 3: Cross multiply
    12,298.64x = 16,970.81 × 6,920.98
  4. Step 4: Simplify right side
    12,298.64x = 117,454,636.59
  5. Step 5: Solve for x
    x = 117,454,636.59/12,298.64
  6. Step 6: Final answer
    x = 9,550.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.